Lectures related to Symmetric Matrices and Quadratic Forms

Covers the decomposition of symmetric matrices into eigenvalues and eigenvectors.

Covers the decomposition of matrices into triangular blocks and spectral decomposition.

Explores projections on lines and symmetries in 2D space, emphasizing fixed points and symmetric matrices.

Covers the method of diagonalizing a symmetric matrix using an orthogonal matrix.

Explores pseudo-Euclidean spaces, emphasizing isometries and bases in vector spaces with non-degenerate quadratic forms.

Explores diagonalization in symmetric matrices, emphasizing orthogonality and orthonormal bases.

Explores stationary points, saddle points, symmetric matrices, and orthogonal properties in optimization.